What is the Greatest Common Factor of 47880 and 47900?

Greatest common factor (GCF) of 47880 and 47900 is 20.

GCF(47880,47900) = 20

We will now calculate the prime factors of 47880 and 47900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47880 and 47900.

How to find the GCF of 47880 and 47900?

We will first find the prime factorization of 47880 and 47900. After we will calculate the factors of 47880 and 47900 and find the biggest common factor number .

Step-1: Prime Factorization of 47880

Prime factors of 47880 are 2, 3, 5, 7, 19. Prime factorization of 47880 in exponential form is:

47880 = 2³ × 3² × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 47900

Prime factors of 47900 are 2, 5, 479. Prime factorization of 47900 in exponential form is:

47900 = 2² × 5² × 479¹

Step-3: Factors of 47880

List of positive integer factors of 47880 that divides 47880 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 19, 20, 21, 24, 28, 30, 35, 36, 38, 40, 42, 45, 56, 57, 60, 63, 70, 72, 76, 84, 90, 95, 105, 114, 120, 126, 133, 140, 152, 168, 171, 180, 190, 210, 228, 252, 266, 280, 285, 315, 342, 360, 380, 399, 420, 456, 504, 532, 570, 630, 665, 684, 760, 798, 840, 855, 1064, 1140, 1197, 1260, 1330, 1368, 1596, 1710, 1995, 2280, 2394, 2520, 2660, 3192, 3420, 3990, 4788, 5320, 5985, 6840, 7980, 9576, 11970, 15960, 23940

Step-4: Factors of 47900

List of positive integer factors of 47900 that divides 47880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 479, 958, 1916, 2395, 4790, 9580, 11975, 23950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47880 and 47900. The biggest common factor number is the GCF number.
So the greatest common factor 47880 and 47900 is 20.

Also check out the Least Common Multiple of 47880 and 47900